AdS4/CFT3 at One Loop

Details AdS4/CFT3 at One Loop AdS4/CFT3 at One Loop

2008-07-29

arxiv.org/abs/0807.4561v6

JHEP 0809:092,2008

Physics

High Energy Physics

High Energy Physics - Theory

v2,3: 16 pages, refs added, grammar fixed, published version; v4: minor corrections to the published version; v5,6: more refs

Scientific paper

10.1088/1126-6708/2008/09/092

I consider semi-classical type IIA strings rotating in the AdS4 part of AdS4 X CP3. The one loop sigma model corrections to this classical solution are used to compute the energy shift, and the result is found to be E-S=f(lambda) ln S with f(lambda)= sqrt{2 lambda} - 5 ln 2 /2 pi + O (1/sqrt{lambda}). Even though the functional forms match, the actual numerical value of this one loop string result differs from the result obtained on the integrable N=6 Chern-Simons (ABJM) theory side.

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